Autorizo a radicarse de manera permanente

Hello! I´m translating a legal document for a relative in the USA that needs to present it to legal authorities there. It is the authorization for his child to stay (live) here in Argentina. The text is as follows:

"permanently reside" sounds fine to me, as a "permanent resident" is a term used in legal discourse. If you have doubts about what the authorities are looking for, you should directly contact the appropriate organization in the US!